Generalised space-time and duality

TY - JOUR

T1 - Generalised space-time and duality

AU - West, Peter

PY - 2010/10

Y1 - 2010/10

N2 - In this Letter we consider the previously proposed generalised space-time and investigate the structure of the field theory upon which it is based. In particular, we derive a SO(D. D) formulation of the bosonic string as a non-linear realisation at lowest levels of E-11 circle times(s) l(1) is the first fundamental representation. We give a Hamiltonian formulation of this theory and carry out its quantisation. We argue that the choice of representation of the quantum theory breaks the manifest SO(D. D) symmetry but that the symmetry is manifest in a non-commutative field theory. We discuss the implications for the conjectured E-11 symmetry and the role of the l(1) representation. (C) 2010 Elsevier B.V. All rights reserved.

AB - In this Letter we consider the previously proposed generalised space-time and investigate the structure of the field theory upon which it is based. In particular, we derive a SO(D. D) formulation of the bosonic string as a non-linear realisation at lowest levels of E-11 circle times(s) l(1) is the first fundamental representation. We give a Hamiltonian formulation of this theory and carry out its quantisation. We argue that the choice of representation of the quantum theory breaks the manifest SO(D. D) symmetry but that the symmetry is manifest in a non-commutative field theory. We discuss the implications for the conjectured E-11 symmetry and the role of the l(1) representation. (C) 2010 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.physletb.2010.08.054

DO - 10.1016/j.physletb.2010.08.054

M3 - Article

SN - 1873-2445

VL - 693

SP - 373

EP - 379

JO - Physics Letters B

JF - Physics Letters B

IS - 3

ER -